132800980 has 24 divisors (see below), whose sum is σ = 300335112. Its totient is φ = 49034112.

The previous prime is 132800971. The next prime is 132800981. The reversal of 132800980 is 89008231.

It can be written as a sum of positive squares in 4 ways, for example, as 11316496 + 121484484 = 3364^2 + 11022^2 .

It is a super-2 number, since 2×132800980² = 35272200577920800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132800981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255127 + ... + 255646.

It is an arithmetic number, because the mean of its divisors is an integer number (12513963).

Almost surely, 2^132800980 is an apocalyptic number.

132800980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132800980 is an abundant number, since it is smaller than the sum of its proper divisors (167534132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132800980 is a wasteful number, since it uses less digits than its factorization.

132800980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510795 (or 510793 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 132800980 is about 11523.9307530026. The cubic root of 132800980 is about 510.1921357314.

The spelling of 132800980 in words is "one hundred thirty-two million, eight hundred thousand, nine hundred eighty".